number.wiki
Live analysis

1,037,129

1,037,129 is a prime, odd.

This number doesn't have a permanent NumberWiki page yet — what you see below is computed live. Pages get added to the permanent index when they're notable (years, primes, curated, etc.).

1,037,129 (one million thirty-seven thousand one hundred twenty-nine) is an odd 7-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0xFD349.

Arithmetic Number Chen Prime Cube-Free Deficient Number Evil Number Prime Pythagorean Prime Sexy Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
7
Digit sum
23
Digit product
0
Digital root
5
Palindrome
No
Bit width
20 bits
Reversed
9,217,301
Square (n²)
1,075,636,562,641
Cube (n³)
1,115,573,872,575,297,689
Divisor count
2
σ(n) — sum of divisors
1,037,130
φ(n) — Euler's totient
1,037,128

Primality

1,037,129 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 1037129
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 1,037,129)
1 × 1037129
First multiples
1,037,129 · 2,074,258 (double) · 3,111,387 · 4,148,516 · 5,185,645 · 6,222,774 · 7,259,903 · 8,297,032 · 9,334,161 · 10,371,290

Sums & aliquot sequence

As a sum of two squares: 277² + 980²
As consecutive integers: 518,564 + 518,565

Continued fraction of √n

√1,037,129 = [1018; (2, 1, 1, 7, 1, 11, 1, 5, 1, 1, 88, 58, 5, 2, 8, 1, 2, 8, 1, 2, 1, 22, 2, 2, …)]

Representations

In words
one million thirty-seven thousand one hundred twenty-nine
Ordinal
1037129th
Binary
11111101001101001001
Octal
3751511
Hexadecimal
0xFD349
Base64
D9NJ
One's complement
4,293,930,166 (32-bit)
Scientific notation
1.037129 × 10⁶
As a duration
1,037,129 s = 12 days, 5 minutes, 29 seconds
In other bases
ternary (3) 1221200200012
quaternary (4) 3331031021
quinary (5) 231142004
senary (6) 34121305
septenary (7) 11546462
nonary (9) 1850605
undecimal (11) 649235
duodecimal (12) 420235
tridecimal (13) 2a40b2
tetradecimal (14) 1cdd69
pentadecimal (15) 15746e

As an angle

1,037,129° = 2,880 × 360° + 329°
329° ≈ 5.742 rad
Compass bearing: NNW (north-northwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓁨𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Chinese
一百零三萬七千一百二十九
Chinese (financial)
壹佰零參萬柒仟壹佰貳拾玖
In other modern scripts
Eastern Arabic ١٠٣٧١٢٩ Devanagari १०३७१२९ Bengali ১০৩৭১২৯ Tamil ௧௦௩௭௧௨௯ Thai ๑๐๓๗๑๒๙ Tibetan ༡༠༣༧༡༢༩ Khmer ១០៣៧១២៩ Lao ໑໐໓໗໑໒໙ Burmese ၁၀၃၇၁၂၉

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: sexy with 1037123.

Hex color
#0FD349
RGB(15, 211, 73)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.211.73.

Address
0.15.211.73
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.211.73

Unspecified address (0.0.0.0/8) — "this network" placeholder.

Possible date

Could be parsed as a date. Most likely interpretation: Thursday, January 3, 7129 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 7129-03-01 (DMMYYYY (Euro, single-digit day))
  • 7129-10-03 (MMDYYYY (US, single-digit day))
  • 7129-03-10 (DDMYYYY (Euro, single-digit month))
Possible US patent number

This number falls in the range of US utility patent numbers. If it's a patent, it would be issued as US 1,037,129 and was likely granted around 1912.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Related reading

  • Prime numbers — The building blocks of arithmetic: what primes are, why they matter, and how we find them.
  • Egyptian hieroglyphic numerals — Seven hieroglyphs for every power of ten, from a single stroke to a million.